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应用逐次Taylor级数线性化法在多孔伸展界面上求解高对流Maxwell流体的磁流体动力学流动
引用本文:S·S·莫查,T·哈亚特,O·M·阿多塞瑞,吴承平. 应用逐次Taylor级数线性化法在多孔伸展界面上求解高对流Maxwell流体的磁流体动力学流动[J]. 应用数学和力学, 2012, 33(8): 919-932
作者姓名:S·S·莫查  T·哈亚特  O·M·阿多塞瑞  吴承平
作者单位:1. 夸祖鲁-纳塔尔大学数学学院,斯科茨维列3209,南非
2. 真纳大学数学系,伊斯兰堡45320,巴基斯坦
3. 沙特国王大学物理系,利雅得11451,沙特阿拉伯
基金项目:作者感谢沙特国王大学在本文完成过程中提供的资助
摘    要:研究不可压缩的高对流Maxwell(UCM)流体,在多孔伸展界面上作磁流体动力学(MHD)的边界层流动.利用相似变换将控制的偏微分方程,变换为非线性常微分方程.采用逐次Taylor级数线性化方法(STLM)求解该非线性问题.对所显现的参数完成速度分量的计算,介绍了表面摩擦因数的数值结果,并分析了问题所显现参数的变化.

关 键 词:高对流Maxwell流体  边界层流动  逐次线性化方法

MHD Flow of UCM Fluid Above Porous Stretching Sheet Using the Successive Taylor Series Linearisation Method
Affiliation:S.S.Motsa1,T.Hayat2,O.M.Aldossary3(1.School of Mathematics,University of KwaZulu Natal,P/Bag X01,Scottsville 3209,South Africa;2.Department of Mathematics,Quaid-T-Azam University,Islamabad 45320,Pakistan;3.Department of Physics,King Saud University,Riyadh 11451,Saudi Arabia)
Abstract:The magnetohydrodynamic(MHD) boundary layer flow of an incompressible upper-convected Maxwell(UCM) fluid over a porous stretching surface was investigated.Similarity transformations were used to reduce the governing partial differential equations into a nonlinear ordinary differential equation.The nonlinear problem was solved by employing successive Taylor series linearization method(STLM).Computations for velocity components were carried out for the emerging parameters.Numerical values of skin friction coefficient were presented and analyzed for various parameters of interest entering into the problem.
Keywords:UCM fluid  boundary layer flow  successive linearization method
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